Finding the Fourth Proportional to 1,099.58, 1,647.50 and 665.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,099.58 : 1,647.50 = 665.82 : x
2. Step 2: Convert to fraction form
   1,099.58/1,647.50 = 665.82/x
3. Step 3: Cross multiply
   1,099.58x = 1,647.50 × 665.82
4. Step 4: Simplify right side
   1,099.58x = 1,096,935.12
5. Step 5: Solve for x
   x = 1,096,935.12/1,099.58
6. Step 6: Final answer
   x = 997.60